Details

Time bar (total: 6.8s)

sample13.0ms

Algorithm
intervals
Results
5.0ms336×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3447
4587
done587

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (- 1.0 (* x 0.5)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
18.0ms
(* x (- 1.0 (* x 0.5)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* x (- 1.0 (* x 0.5)))

simplify1.3s

Counts
35 → 35
Iterations

Useful iterations: done (1.3s)

IterNodesCost
071411
1151408
2382356
31330347
done5000311

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.5 (pow x 2))
0.0b
(+ (* x 1.0) (- (* 0.5 (pow x 2))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
6×add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u sum-log log1p-expm1-u unpow2 sqr-pow
1×+-commutative neg-sub0 pow-to-exp associate-+r- fma-def flip3-+ unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 47
Calls
2 calls:
14.0ms
(* 0.5 (pow x 2))
9.0ms
(+ (* x 1.0) (- (* 0.5 (pow x 2))))

series104.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* 0.5 (pow x 2))
75.0ms
(+ (* x 1.0) (- (* 0.5 (pow x 2))))

simplify2.1s

Counts
53 → 53
Iterations

Useful iterations: done (2.1s)

IterNodesCost
086510
1217454
2701399
33086363
done5000360

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x 0.5)))
0.0b
(sqrt (- 1.0 (* x 0.5)))
0.0b
(* x (sqrt (- 1.0 (* x 0.5))))
0.1b
(* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (* x 0.5)))
7.0ms
(sqrt (- 1.0 (* x 0.5)))
21.0ms
(* x (sqrt (- 1.0 (* x 0.5))))
43.0ms
(* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))

series234.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (- 1.0 (* x 0.5)))
39.0ms
(sqrt (- 1.0 (* x 0.5)))
85.0ms
(* x (sqrt (- 1.0 (* x 0.5))))
71.0ms
(* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))

simplify2.1s

Counts
103 → 103
Iterations

Useful iterations: 3 (946.0ms)

IterNodesCost
01341589
13411269
29751127
332351115
done50011115

prune204.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11610
21810
done1810

end0.0ms

sample313.0ms

Algorithm
intervals
Results
166.0ms10569×body80valid